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Finding the Fourth Proportional to 16,709.05, 23,057.81 and 9,990.71

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Solution

The fourth proportional to 16,709.05, 23,057.81 and 9,990.71 is: 13,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.05 : 23,057.81 = 9,990.71 : x
  2. Step 2: Convert to fraction form
    16,709.05/23,057.81 = 9,990.71/x
  3. Step 3: Cross multiply
    16,709.05x = 23,057.81 × 9,990.71
  4. Step 4: Simplify right side
    16,709.05x = 230,363,777.66
  5. Step 5: Solve for x
    x = 230,363,777.66/16,709.05
  6. Step 6: Final answer
    x = 13,786.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.